论文标题
$ \ imath $的稳定性不可约定的有限类型的实际等级
Stability of $\imath$canonical bases of irreducible finite type of real rank one
论文作者
论文摘要
自从他们在Bao和Wang的作品中出生以来就已经知道$ \ imath $ canonical $ \ imath $量子群的基础总体上不稳定。在作者的先前工作中,某些准分类型类型的$ \ imath $规范基础的稳定性与$ \ imath $ crystals的理论密切相关。在本文中,我们证明了$ \ imath $ canonical $ canonical类型的实际等级$ 1 $的稳定性,$ \ imath $ crystals的理论尚未通过全球和本地水晶基础开发。
It has been known since their birth in Bao and Wang's work that the $\imath$canonical bases of $\imath$quantum groups are not stable in general. In the author's previous work, the stability of $\imath$canonical bases of certain quasi-split types turned out to be closely related to the theory of $\imath$crystals. In this paper, we prove the stability of $\imath$canonical bases of irreducible finite type of real rank $1$, for which the theory of $\imath$crystals has not been developed, by means of global and local crystal bases.